1+11b+1=6(b+6)-8(-4b+11)

Solution for 1+11b+1=6(b+6)-8(-4b+11) equation:

Simplifying
1 + 11b + 1 = 6(b + 6) + -8(-4b + 11)

Reorder the terms:
1 + 1 + 11b = 6(b + 6) + -8(-4b + 11)

Combine like terms: 1 + 1 = 2
2 + 11b = 6(b + 6) + -8(-4b + 11)

Reorder the terms:
2 + 11b = 6(6 + b) + -8(-4b + 11)
2 + 11b = (6 * 6 + b * 6) + -8(-4b + 11)
2 + 11b = (36 + 6b) + -8(-4b + 11)

Reorder the terms:
2 + 11b = 36 + 6b + -8(11 + -4b)
2 + 11b = 36 + 6b + (11 * -8 + -4b * -8)
2 + 11b = 36 + 6b + (-88 + 32b)

Reorder the terms:
2 + 11b = 36 + -88 + 6b + 32b

Combine like terms: 36 + -88 = -52
2 + 11b = -52 + 6b + 32b

Combine like terms: 6b + 32b = 38b
2 + 11b = -52 + 38b

Solving
2 + 11b = -52 + 38b

Solving for variable 'b'.

Move all terms containing b to the left, all other terms to the right.

Add '-38b' to each side of the equation.
2 + 11b + -38b = -52 + 38b + -38b

Combine like terms: 11b + -38b = -27b
2 + -27b = -52 + 38b + -38b

Combine like terms: 38b + -38b = 0
2 + -27b = -52 + 0
2 + -27b = -52

Add '-2' to each side of the equation.
2 + -2 + -27b = -52 + -2

Combine like terms: 2 + -2 = 0
0 + -27b = -52 + -2
-27b = -52 + -2

Combine like terms: -52 + -2 = -54
-27b = -54

Divide each side by '-27'.
b = 2

Simplifying
b = 2